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aivan3 [116]
3 years ago
6

Solve the equation for all values of x by completing the square. 3x^2+177= -48x

Mathematics
1 answer:
GaryK [48]3 years ago
4 0

Use the formula

(

b

2

)

2

in order to create a new term. Solve for

x

by using this term to complete the square.

Exact Form:

x

=

±

√

5

−

8

Decimal Form:

x

=

−

5.76393202

…

,

−

10.23606797

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Someone deleted my questions- okay?<br><br> answer this then- 2/3-6/7+7/8
Afina-wow [57]

Answer:

8/5 + 6 2/7

Step-by-step explanation:

Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator. Step 3: Simplify the fraction (if needed) hope I helped!!

4 0
3 years ago
Factor out the coefficient of the variable 5/6s+2/3
DochEvi [55]
Okay. so I'm gonna assume you know what factor out means--were gonna take out 5/6. what we need to know is, how does that affect our ending number 2/3? well, we're gonna have 5/6 times some stuff first off, right?

5/6 ( )

so what's in the parenthesis? well, if we distribute in our mind, S would just have to be by itself for it to work out. so we have

5/6 ( s )

but what about 2/3? well, if we're multiplying everything on the inside by 5/6, how can be get it to cancel and leave 2/3 alone? we could divide 2/3 by 5/6, right?

5/6 ( s + (2/3) / (5/6) )

now, when we distribute our 5/6, we'll have just 2/3 at the end. now let's simplify that end term so it looks a little better. if we divide by a fracion, that's the same as multiplying by the flipped version, so let's do that.

2/3 / 5/6 = 2/3 × 6/5 = 2 (6) / 5 (3) = 12/15

we can reduce 12/15 by dividing the top and bottom by three.

= 4/5

so our final answer would be:

5/6 [S + 4/5] you can redistribute to make sure it matches. Anyway, hope that helps!
6 0
3 years ago
Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and
sergij07 [2.7K]

Answer:

a) sample size is 40

Step-by-step explanation:

(a)

\sigma=4 minutes

Margin of error, E is 75 seconds E=75/60= 1.25 minutes.

The level of significance \alpha= 0.05 for 95% level of significance

For 95% confidence interval z_{\frac{\alpha}{2}}=1.96 from standard deviation table

Sample size required, n

n=\left (\frac{z_{\frac{\alpha}{2}}\cdot \sigma}{E} \right )^{2}=\left (\frac{1.96\cdot4}{75/60} \right )^{2}=39.337984

Rounding off, n=40

Sample size =40

Keywords:

95% confidence, sample size, Wall Street Journal

3 0
4 years ago
How to solve by factoring
aniked [119]
N^2-3n-4=0
(n-4)(n+1)

-4+1=-3
-4*1=-4

n-4=0
n=4

n+1=0
n=-1

Final answers: x=-1, x=4
3 0
3 years ago
Please answer the question on the attachment &lt;3
Julli [10]

Answer:

Step-by-step explanation:

perpendicular (p)= 7.7

hypotenuse (h)= 9.7

now

sin x = p / h

sin x = 7.7/9.7

x = sin ^-1( 7.7/9.7)

x = 53°

3 0
3 years ago
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